Finite Group Databasebeta

← Group #14303447

Character table — Group #14303447

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222244444455558888888881010101010101212121216161616161616162020202020202020202020202020202020202424242430303030404040404040404848606060606060120120
order1222344666510101012122222412121520203030304466664488202060606060606044448888121224242424242424244040404044444121212121212202044448844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-111-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1
χ611111111111111111111-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ91111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111111111ii−i−iii−i−i-1-1iiii−i−i−i−i1111ii−i−i-1-1-1ii−i−i11-1-1i−i-1-1i−i
χ101111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111111111−i−iii−i−iii-1-1−i−i−i−iiiii1111−i−iii-1-1-1−i−iii11-1-1−ii-1-1−ii
χ111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i-1-1iiii−i−i−i−i-1-1-1-1−i−iii-1-1-1ii−i−i-1-111−ii11−ii
χ121111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iii-1-1−i−i−i−iiiii-1-1-1-1ii−i−i-1-1-1−i−iii-1-111i−i11i−i
χ131111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1ii−i−i−i−iii-1-1−i−i−i−iiiii-1-1-1-1ii−i−i111ii−i−i11-1-1i−i11−ii
χ141111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1−i−iiiii−i−i-1-1iiii−i−i−i−i-1-1-1-1−i−iii111−i−iii11-1-1−ii11i−i
χ151111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1ii−i−i−i−iii-1-1−i−i−i−iiiii1111−i−iii111ii−i−i-1-111−ii-1-1i−i
χ161111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1−i−iiiii−i−i-1-1iiii−i−i−i−i1111ii−i−i111−i−iii-1-111i−i-1-1−ii
χ1722222-2-22222222-2-222220002-2-2222-2-22222000000-2-2000000000000-2-2000000000000222200000000000-2-20000
χ1822222-2-22222222-2-222220002-2-2222-2-22222000000-2-2000000000000-2-2000000000000-2-2-2-200000000000220000
χ1922222-2-22222222-2-2-2-2-2-20002-2-222222-2-2-2-2000000-2-2000000000000220000000000002i2i−2i−2i00000000000−2i2i0000
χ2022222-2-22222222-2-2-2-2-2-20002-2-222222-2-2-2-2000000-2-200000000000022000000000000−2i−2i2i2i000000000002i−2i0000
χ212222-122-1-1-12222-1-122222-1-1-122-1-1-122-1-1-1-1000022-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1000000002-1-1-1-1-1-10000000000
χ222222-122-1-1-12222-1-122222-1-1-122-1-1-122-1-1-1-1000022-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-111111111000000002-1-111110000000000
χ232222-122-1-1-12222-1-12222-211-122-1-1-122-1-1-1-10000-2-2-1-111112222-2-2-2-2-1-11111111100000000-211-1-1-1-10000000000
χ242222-122-1-1-12222-1-12222-211-122-1-1-122-1-1-1-10000-2-2-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-1-100000000-21111110000000000
χ252222-122-1-1-12222-1-1-2-2-2-22-1-1-122-1-1-1-2-21111000022-1-1-1-1-1-12i2i−2i−2i2i2i−2i−2i11−i−i−i−iiiii00000000-211−i−iii0000000000
χ262222-122-1-1-12222-1-1-2-2-2-22-1-1-122-1-1-1-2-21111000022-1-1-1-1-1-1−2i−2i2i2i−2i−2i2i2i11iiii−i−i−i−i00000000-211ii−i−i0000000000
χ272222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2-211110000-2-2-1-111112i2i−2i−2i−2i−2i2i2i11iiii−i−i−i−i000000002-1-1−i−iii0000000000
χ282222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2-211110000-2-2-1-11111−2i−2i2i2i2i2i−2i−2i11−i−i−i−iiiii000000002-1-1ii−i−i0000000000
χ2922-2-222-2-22-222-2-22-222-2-200022-2-22-22-22-2-220000002-200002-22-200002-200000000000000000002-22-20000000000
χ3022-2-222-2-22-222-2-22-222-2-200022-2-22-22-22-2-220000002-20000-22-2200002-20000000000000000000-22-220000000000
χ3122-2-222-2-22-222-2-22-2-2-22200022-2-22-2-22-222-20000002-200002i−2i−2i2i0000-2200000000000000000002i−2i−2i2i0000000000
χ3222-2-222-2-22-222-2-22-2-2-22200022-2-22-2-22-222-20000002-20000−2i2i2i−2i0000-220000000000000000000−2i2i2i−2i0000000000
χ3322-2-22-22-22-222-2-2-2222-2-20002-22-22-2-222-2-222i−2i0000-22000000000000-22000000000000000000000002i−2i2i−2i000000
χ3422-2-22-22-22-222-2-2-2222-2-20002-22-22-2-222-2-22−2i2i0000-22000000000000-2200000000000000000000000−2i2i−2i2i000000
χ3522-2-22-22-22-222-2-2-22-2-2220002-22-22-22-2-222-22i−2i0000-220000000000002-2000000000000000000000002i−2i−2i2i000000
χ3622-2-22-22-22-222-2-2-22-2-2220002-22-22-22-2-222-2−2i2i0000-220000000000002-200000000000000000000000−2i2i2i−2i000000
χ3722-2-2-12-21-1122-2-2-1122-2-203−3-12-21-112-2-111-1000000-1133−3−32-22-20000-1133−3−333−3−30000000003−3-11-110000000000
χ3822-2-2-12-21-1122-2-2-1122-2-203−3-12-21-112-2-111-1000000-1133−3−3-22-220000-11−3−333−3−3330000000003−31-11-10000000000
χ3922-2-2-12-21-1122-2-2-1122-2-20−33-12-21-112-2-111-1000000-11−3−3332-22-20000-11−3−333−3−333000000000−33-11-110000000000
χ4022-2-2-12-21-1122-2-2-1122-2-20−33-12-21-112-2-111-1000000-11−3−333-22-220000-1133−3−333−3−3000000000−331-11-10000000000
χ4122-2-2-12-21-1122-2-2-11-2-22203−3-12-21-11-221-1-11000000-1133−3−32i−2i−2i2i00001-1i3i3−i3−i3−i3−i3i3i3000000000−33−iii−i0000000000
χ4222-2-2-12-21-1122-2-2-11-2-22203−3-12-21-11-221-1-11000000-1133−3−3−2i2i2i−2i00001-1−i3−i3i3i3i3i3−i3−i3000000000−33i−i−ii0000000000
χ4322-2-2-12-21-1122-2-2-11-2-2220−33-12-21-11-221-1-11000000-11−3−3332i−2i−2i2i00001-1−i3−i3i3i3i3i3−i3−i30000000003−3−iii−i0000000000
χ4422-2-2-12-21-1122-2-2-11-2-2220−33-12-21-11-221-1-11000000-11−3−333−2i2i2i−2i00001-1i3i3−i3−i3−i3−i3i3i30000000003−3i−i−ii0000000000
χ452-22-2200-2-222-22-2002-2-22000200-2-220022-2-200−i2i2000000000000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i2−i2−i2i2i22-22-20000000000000−i2i200
χ462-22-2200-2-222-22-2002-2-22000200-2-220022-2-200−i2i2000000000000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2-22-220000000000000−i2i200
χ472-22-2200-2-222-22-2002-2-22000200-2-220022-2-200i2−i2000000000000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2-22-220000000000000i2−i200
χ482-22-2200-2-222-22-2002-2-22000200-2-220022-2-200i2−i2000000000000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i2i2i2−i2−i22-22-20000000000000i2−i200
χ492-22-2200-2-222-22-200-222-2000200-2-2200-2-22200−i2i20000000000002−2−22002−22−2−22−22−i2−i2i2i22i−2i−2i2i0000000000000i2−i200
χ502-22-2200-2-222-22-200-222-2000200-2-2200-2-22200−i2i2000000000000−222−200−22−222−22−2−i2−i2i2i2−2i2i2i−2i0000000000000i2−i200
χ512-22-2200-2-222-22-200-222-2000200-2-2200-2-22200i2−i20000000000002−2−22002−22−2−22−22i2i2−i2−i2−2i2i2i−2i0000000000000−i2i200
χ522-22-2200-2-222-22-200-222-2000200-2-2200-2-22200i2−i2000000000000−222−200−22−222−22−2i2i2−i2−i22i−2i−2i2i0000000000000−i2i200
χ534444444444-1-1-1-1440000444-1-1-1-1-1-10000004444-1-1-1-1-1-1-1-1000000000000000000-1-1-1-100000000000-1-100000000
χ544444444444-1-1-1-1440000444-1-1-1-1-1-1000000-4-4-4-4-1-1-1-1-1-1-1-10000000000000000001111000000000001100000000
χ554444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-100000044-4-411-1-11111000000000000000000111100000000000-1-100000000
χ564444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-1000000-4-44411-1-11111000000000000000000-1-1-1-1000000000001100000000
χ574444-2-4-4-2-2-24444224444000-2-4-4-2-2-2-4-4-2-2-2-20000002200000000000022000000000000000000000000000000000
χ584444-2-4-4-2-2-2444422-4-4-4-4000-2-4-4-2-2-244222200000022000000000000-2-2000000000000000000000000000000000
χ5944-4-44-44-44-4-1-111-440000000-11-11-110000004i−4i00−i5i51-1−i5i5−i5i5000000000000000000−55−5500000000000−ii00000000
χ6044-4-44-44-44-4-1-111-440000000-11-11-110000004i−4i00i5−i51-1i5−i5i5−i50000000000000000005−55−500000000000−ii00000000
χ6144-4-44-44-44-4-1-111-440000000-11-11-11000000−4i4i00−i5i51-1−i5i5−i5i50000000000000000005−55−500000000000i−i00000000
χ6244-4-44-44-44-4-1-111-440000000-11-11-11000000−4i4i00i5−i51-1i5−i5i5−i5000000000000000000−55−5500000000000i−i00000000
χ6344-4-4-2-442-2244-4-42-244-4-4000-2-442-22-44-222-20000002-20000000000002-2000000000000000000000000000000000
χ6444-4-4-2-442-2244-4-42-2-4-444000-2-442-224-42-2-220000002-2000000000000-22000000000000000000000000000000000
χ654-44-4-20022-24-44-4004-4-44000-20022-200-2-2220000000000000000−2i22i2−2i22i200i2−i2i2−i2i2−i2i2−i20000000000000000000000000
χ664-44-4-20022-24-44-4004-4-44000-20022-200-2-22200000000000000002i2−2i22i2−2i200−i2i2−i2i2−i2i2−i2i20000000000000000000000000
χ674-44-4-20022-24-44-400-444-4000-20022-20022-2-2000000000000000022−22−222200−22−222−22−20000000000000000000000000
χ684-44-4-20022-24-44-400-444-4000-20022-20022-2-20000000000000000−222222−22002−22−2−22−220000000000000000000000000
χ694-4-444004-4-44-4-44004-44-40004004-4-4004-44-40000000000000000000000000000000000000000000000000000000
χ704-4-444004-4-44-4-4400-44-440004004-4-400-44-440000000000000000000000000000000000000000000000000000000
χ714-4-44-200-2224-4-44004-44-4000-200-22200-22-220000000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000000000000
χ724-4-44-200-2224-4-44004-44-4000-200-22200-22-220000000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000000000000
χ734-4-44-200-2224-4-4400-44-44000-200-222002-22-200000000000000000000006−6−66−666−60000000000000000000000000
χ744-4-44-200-2224-4-4400-44-44000-200-222002-22-20000000000000000000000−666−66−6−660000000000000000000000000
χ7588888-8-8888-2-2-2-2-8-80000000-222-2-2-20000000000002200000000000000000000000000000000000000000000000
χ768888-488-4-4-4-2-2-2-2-4-400008-4-41-2-21110000000000-2-21111110000000000000000000000000000000000000000000
χ778888-488-4-4-4-2-2-2-2-4-40000-8441-2-211100000000002211-1-1-1-10000000000000000000000000000000000000000000
χ788888-4-8-8-4-4-4-2-2-2-2440000000122111000000000000-1-1−i15i15i15−i150000000000000000000000000000000000000000000
χ798888-4-8-8-4-4-4-2-2-2-2440000000122111000000000000-1-1i15−i15−i15i150000000000000000000000000000000000000000000
χ8088-8-888-8-88-8-2-2228-80000000-2-222-22000000000000-2200000000000000000000000000000000000000000000000
χ8188-8-8-48-84-44-2-222-440000043−431-22-11-10000000000001-1−3−3330000000000000000000000000000000000000000000
χ8288-8-8-48-84-44-2-222-4400000−43431-22-11-10000000000001-133−3−30000000000000000000000000000000000000000000
χ8388-8-8-4-884-44-2-2224-4000000012-2-11-10000000000−2i52i5-11i5−i5i5−i50000000000000000000000000000000000000000000
χ8488-8-8-4-884-44-2-2224-4000000012-2-11-100000000002i5−2i5-11−i5i5−i5i50000000000000000000000000000000000000000000
χ858-88-8800-8-88-22-22000000000-20022-200000000−4i24i200000000000000000000000000i2i2−i2−i2000000000000000000000
χ868-88-8800-8-88-22-22000000000-20022-2000000004i2−4i200000000000000000000000000−i2−i2i2i2000000000000000000000
χ878-8-888008-8-8-222-2000000000-200-222000000000000000000000000000000000000i10−i10−i10i10000000000000000000000
χ888-8-888008-8-8-222-2000000000-200-222000000000000000000000000000000000000−i10i10i10−i10000000000000000000000
χ8916-1616-16-80088-8-44-44000000000200-2-220000000000000000000000000000000000000000000000000000000000000
χ9016-16-1616-800-888-444-40000000002002-2-20000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).